LCM of 796, 508, 635, 844, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 508, 635, 844, 899 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 796, 508, 635, 844, 899. So, keep reading to learn more.
Given numbers are 796,508,635,844,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,508,635,844,899 is 95880201940.
Find LCM of 796,508,635,844,899 with Prime Factorization
| 2 | 796, 508, 635, 844, 899 |
| 2 | 398, 254, 635, 422, 899 |
| 127 | 199, 127, 635, 211, 899 |
| 199, 1, 5, 211, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 199 x 1 x 5 x 211 x 899 = 95880201940
Therefore, the lowest common multiple of 796,508,635,844,899 is 95880201940.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
796 x 508 x 635 x 844 x 899 = 194828570342080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
796 : 1, 2, 4, 199, 398, 796
508 : 1, 2, 4, 127, 254, 508
635 : 1, 5, 127, 635
844 : 1, 2, 4, 211, 422, 844
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,508,635,844,899, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
508:2x 2x 127
635:5x 127
844:2x 2x 211
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 127 = 2032
Therefore, the value for common factors is 2032.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 194828570342080/(1x2032)
LCM = 194828570342080/2032
LCM = 95880201940
Thus, we can understand that the LCM of 796,508,635,844,899 is 95880201940.
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FAQs on LCM of 796, 508, 635, 844, 899
1. What is the LCM of 796, 508, 635, 844, 899?
Answer: LCM of 796, 508, 635, 844, 899 is 95880201940.
2. How to calculate the LCM of 796, 508, 635, 844, 899?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 796, 508, 635, 844, 899.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.